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In The Republic (509d–510a), Socrates describes the divided line to Glaucon this way: . Now take a line which has been cut into two unequal parts, and divide each of them again in the same proportion, [1] and suppose the two main divisions to answer, one to the visible and the other to the intelligible, and then compare the subdivisions in respect of their clearness and want of clearness ...
Plato's use of such an analogy can be interpreted for many different reasons in philosophy. For example, Plato uses them to illustrate and help illuminate his arguments. In the Analogy of the Sun, Socrates compares the "Good" with the Sun. Plato might be using the image of the Sun to help bring life to his arguments or to make the argument more ...
Plato doesn't state a specific ratio by which the line must be divided, and then further subdivided, except that one part in each subdivision must be longer than the other (i.e. 1:1 is excluded). The exact ratio is not important whatsoever, but what, given any ratio, a line divided in this way, will reduce to. suppose the length AC = x, CE = y ...
Platonic division may refer to: The Analogy of the Divided Line, Plato's schematic representation of all possible metaphysics, epistemology, and ethics on four hierarchical levels in the Republic, Book 6; Plato's tripartite theory of soul, Plato's partitioned organization of the Soul as presented in the Phaedo and the Republic
Plato's allegory of the cave by Jan Saenredam, according to Cornelis van Haarlem, 1604, Albertina, Vienna. Plato's allegory of the cave is an allegory presented by the Greek philosopher Plato in his work Republic (514a–520a, Book VII) to compare "the effect of education (παιδεία) and the lack of it on our nature".
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In philosophy, Plato's epistemology is a theory of knowledge developed by the Greek philosopher Plato and his followers.. Platonic epistemology holds that knowledge of Platonic Ideas is innate, so that learning is the development of ideas buried deep in the soul, often under the midwife-like guidance of an interrogator.
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